{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "undefined-logistics",
   "metadata": {},
   "source": [
    "### Basic Quiver Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "extra-winter",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.figure_factory as ff\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "x,y = np.meshgrid(np.arange(0, 2, .2), np.arange(0, 2, .2))\n",
    "u = np.cos(x)*y\n",
    "v = np.sin(x)*y\n",
    "\n",
    "fig = ff.create_quiver(x, y, u, v)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "experimental-buffer",
   "metadata": {},
   "source": [
    "### Quiver Plot with Points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "characteristic-dallas",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.figure_factory as ff\n",
    "import plotly.graph_objects as go\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "x,y = np.meshgrid(np.arange(-2, 2, .2),\n",
    "                  np.arange(-2, 2, .25))\n",
    "z = x*np.exp(-x**2 - y**2)\n",
    "v, u = np.gradient(z, .2, .2)\n",
    "\n",
    "# Create quiver figure\n",
    "fig = ff.create_quiver(x, y, u, v,\n",
    "                       scale=.25,\n",
    "                       arrow_scale=.4,\n",
    "                       name='quiver',\n",
    "                       line_width=1)\n",
    "\n",
    "# Add points to figure\n",
    "fig.add_trace(go.Scatter(x=[-.7, .75], y=[0,0],\n",
    "                    mode='markers',\n",
    "                    marker_size=12,\n",
    "                    name='points'))\n",
    "\n",
    "fig.show(renderer=\"png\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
